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106503404 = 22741113821
BaseRepresentation
bin1100101100100…
…01110011101100
321102101221012112
412112101303230
5204231102104
614322423152
72432156360
oct626216354
9242357175
10106503404
1155133647
122b801ab8
13190ac987
14102052a0
15953b86e
hex6591cec

106503404 has 48 divisors (see below), whose sum is σ = 220401216. Its totient is φ = 44083200.

The previous prime is 106503373. The next prime is 106503421. The reversal of 106503404 is 404305601.

It is a happy number.

It is a super-2 number, since 2×1065034042 = 22685950127174432, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 106503404.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 129314 + ... + 130134.

It is an arithmetic number, because the mean of its divisors is an integer number (4591692).

Almost surely, 2106503404 is an apocalyptic number.

106503404 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 106503404, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (110200608).

106503404 is an abundant number, since it is smaller than the sum of its proper divisors (113897812).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

106503404 is a wasteful number, since it uses less digits than its factorization.

106503404 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 986 (or 984 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 23.

The square root of 106503404 is about 10320.0486432962. The cubic root of 106503404 is about 474.0103554266.

The spelling of 106503404 in words is "one hundred six million, five hundred three thousand, four hundred four".

Divisors: 1 2 4 7 14 28 41 82 113 164 226 287 452 574 791 821 1148 1582 1642 3164 3284 4633 5747 9266 11494 18532 22988 32431 33661 64862 67322 92773 129724 134644 185546 235627 371092 471254 649411 942508 1298822 2597644 3803693 7607386 15214772 26625851 53251702 106503404